Minuscule reverse plane partitions via quiver representations

2019/04/04 by Garver, Alexander, Patrias, Rebecca, Thomas, Hugh
#05E10 #16G20 #Combinatorics (math.CO) #FOS: Mathematics

paper · doi:10.48550/arxiv.1904.02754

Abstract

The Hillman--Grassl correspondence is a well-known bijection between multisets of rim hooks of a partition shape λ and reverse plane partitions of λ. We use the tools of quiver representations to generalize Hillman--Grassl in type A and to define an analogue in all minuscule types. This is an extended abstract prepared for FPSAC 2019 based on arXiv:1812.08345, emphasizing its combinatorial aspects.

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